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Strong convergence theorems on viscosity approximation me\-thods for
finding a common zero of a finite family accretive operators are
established in a reflexive and strictly Banach space having a
uniformly Gateaux differentiable norm. The main theorems
supplement the recent corresponding results of Wong et al.
[29] and Zegeye and Shahzad [32] to the viscosity
method together with different control conditions.
Our results also improve the
corresponding results of [9,16,18,19,25] for finite
nonexpansive mappings to the case of finite pseudocontractive
mappings.
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참고문헌 (28)
참고문헌 신청
A. Moudafi / 2000 / Viscosity approximation methods for fixed-points problems / J. Math. Anal. Appl. 241 : 46 ~ 55
G. Liu / 2000 / Approximating fixed points of nonexpansive mappings / Internat. J. Math. Math. Sci. 24 : 173 ~ 177
H. Breziz / 1978 / Products infinis de resolvents / Israel J. Math. 29 : 329 ~ 345
H. F. Senter / 1974 / Approximating fixed points of nonexpansive mappings / Proc. Amer. Math. Soc. 44 : 375 ~ 380
H. Miyake / 2005 / Approximating zero points of accretive operators with compact domains in general Banach spaces / Fixed Point Theory Appl. 2005 (1) : 93 ~ 102
G. Liu / 2000 / Approximating fixed points of nonexpansive mappings / Internat. J. Math. Math. Sci. 24 : 173 ~ 177
H. Breziz / 1978 / Products infinis de resolvents / Israel J. Math. 29 : 329 ~ 345
H. F. Senter / 1974 / Approximating fixed points of nonexpansive mappings / Proc. Amer. Math. Soc. 44 : 375 ~ 380
H. Miyake / 2005 / Approximating zero points of accretive operators with compact domains in general Banach spaces / Fixed Point Theory Appl. 2005 (1) : 93 ~ 102
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